混合刚度和强度紊乱可以稳定骨折
Blending stiffness and strength disorder can stabilize fracture
摘要:
准脆性行为,其中宏观失效之前是稳定的损伤和强烈的开裂活动,是材料的理想特征,因为它使断裂可预测。基于一个纤维束模型与全球负载共享,我们表明,混合强度和刚度的材料元素的无序导致稳定的断裂,即样品是脆的,当一个源的混乱是存在的,成为准脆性的混合的结果。我们推导出一个条件的准脆性行为的联合分布的两个来源的障碍。当无序量逐渐减少时,破裂突发具有指数为5/2的幂律尺寸分布,而没有向较低指数的任何交叉。研究结果对材料的设计具有实际意义,可提高建筑物的安全性。
英文摘要:
Quasi-brittle behavior where macroscopic failure is preceded by stable damaging and intensive cracking activity is a desired feature of materials because it makes fracture predictable. Based on a fiber bundle model with global load sharing we show that blending strength and stiffness disorder of material elements leads to the stabilization of fracture, i.e. samples which are brittle when one source of disorder is present, become quasi-brittle as a consequence of blending. We derive a condition of quasi-brittle behavior in terms of the joint distribution of the two sources of disorder. Breaking bursts have a power law size distribution of exponent 5/2 without any crossover to a lower exponent when the amount of disorder is gradually decreased. The results have practical relevance for the design of materials to increase the safety of constructions.
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